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Finding the Third Proportional to 30,595 and 64,867

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Solution

The third proportional to 30,595 and 64,867 is: 137,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,595 : 64,867 = 64,867 : x
  2. Step 2: Convert to fraction form
    30,595/64,867 = 64,867/x
  3. Step 3: Cross multiply
    30,595x = 64,867 × 64,867
  4. Step 4: Simplify right side
    30,595x = 4,207,727,689
  5. Step 5: Solve for x
    x = 4,207,727,689/30,595
  6. Step 6: Final answer
    x = 137,529.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.